Cross-Property Relations between Elastic and Thermal Properties of Porous Ceramics

Abstract:

The cross-property relations between the elastic moduli and the thermal conductivity of porous ceramics are reviewed from the viewpoint of micromechanics (composite theory). Consequences of the rigorous Milton-Torquato and Gibiansky-Torquato relations (in the form of bounds, i.e. inequalities derived between bulk or shear moduli on the one hand and thermal conductivity on the other) are compared to various approximate relations (equalities) recently proposed between the tensile modulus (Young’s modulus) and thermal conductivity, among them the two new cross-property relations proposed by the authors. The relations are critically discussed and applied to the case of porous alumina, zirconia and alumina-zirconia composite ceramics.

• Periodical: Advances in Science and Technology (Volume 45)
• Pages: 107-112
• DOI: https://doi.org/10.4028/www.scientific.net/AST.45.107
• Online since: October 2006
• Authors: W. Pabst, Eva Gregorová
• Keywords: Cross-Property Relations, Elastic Modulus, Poisson's Ratio, Porosity, Porous Ceramics, Thermal Conductivity (TC)

References

[1] S. Torquato: Random Heterogeneous Materials (Springer, New York 2002).

[2] G.W. Milton, in D.L. Johnson and P.N. Sen (eds. ): Physics and Chemistry of Porous Media (AIP, New York 1984).

[3] S. Torquato in S. Torquato and D. Krajcinovic (eds. ): Macroscopic Behavior of Heterogeneous Materials from the Microstructure (American Society of Mechanical Engineers, USA 1992).

[4] L.V. Gibiansky and S. Torquato: Proc. R. Soc. Lond. A 452 (1996), p.253.

[5] T.J. Lu, C.G. Levi, H.N.G. Wadley and A.G. Evans: J. Am. Ceram. Soc. 84 (2001), p.2937.

[6] I. Sevostianov, J. Kovačik and F. Simančík: Int. J. Fract. 114 (2002), p. L23.

[7] W. Pabst and E. Gregorová: Ceram. Int. (in press).

[8] W. Pabst and E. Gregorová: J. Mater. Sci. (submitted).

[9] W. Pabst and E. Gregorová: Ceram. Silik. 47 (2003), p.1.

[10] J.G. Berryman and G.W. Milton: J. Phys. D.: Appl. Phys. 21 (1988), p.87.

[11] R.W. Zimmerman: Appl. Mech. Rev. 47 (1994), p. S38.

[12] W. Pabst, E. Gregorová and G. Tichá: J. Eur. Ceram. Soc. 26 (2006), p.1085.

[13] G. Tichá , W. Pabst and D.S. Smith: J. Mater. Sci. 40 (2005), p.5045.

[14] W. Pabst, E. Gregorová, G. Tichá and E. Týnová: Ceram. Silik. 48 (2004), p.145.

[15] Z. Wang, A. Kulkarni, S. Deshpande, T. Nakamura and H. Herman: Acta Mater. 51 (2003), p.5319.

[16] W. Pabst and E. Gregorová: J. Mater. Sci. 39 (2004), p.3501.

[17] W. Pabst and E. Gregorová: Ceram. Int. 32 (2006), p.89.